Write down in terms of n, an expression for the nth term
2 answers:
Answer:
The nth term will be:

Step-by-step explanation:
Given the sequence
25, 20, 15, 10, 5
An Arithmetic sequence has a constant difference 'd' and is defined by

Computing the common difference of all the adjacent terms


As the difference between all the adjacent terms is the same and equal to

Also, the first term is:

Hence, the nth term will be:

∵
, 

Therefore, the nth term will be:

Answer:
Solution,
First term (a) = 25
Common difference (d) = Second term - first term = 20 - 25 = -5
Now,
nth term = a + (n - 1)d = 25 + (n - 1) (-5) = 25 - 5n +5 = 30 - 5n
The nth term of the series is 30 - 5n
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